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2021 Fall AMC 10B Problems/Problem 24

Revision as of 19:03, 22 November 2021 by Kante314 (talk | contribs) (Created page with "A cube is constructed from <math>4</math> white unit cubes and <math>4</math> black unit cubes. How many different ways are there to construct the <math>2 \times 2 \times 2</m...")
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A cube is constructed from $4$ white unit cubes and $4$ black unit cubes. How many different ways are there to construct the $2 \times 2 \times 2$ cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.)

$\textbf{(A)}\ 7 \qquad\textbf{(B)}\ 8 \qquad\textbf{(C)}\ 9 \qquad\textbf{(D)}\ 10 \qquad\textbf{(E)}\ 11$

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